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3 years ago

The range of the secant function is?

Mathematics

2 answers:

dimulka [17.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Brrunno [24]3 years ago

3 0

The range of the function is y≤−1 or y≥1 .

You might be interested in

What is the ratio 4:6 in simplest form?

ad-work [718]

Find the term that goes into both - in this case, it's 2.

Therefore, we divide both numbers by 2 to simplify.

4/2 = 2

6/2 = 3

So the simplified form is 2 : 3

7 0

4 years ago

The amount of seed a landscaper uses and the area

zepelin [54]

Answer/Step-by-step explanation:

Since there is a proportional relationship between amount of seed a landscaper uses and the area of lawn covered, therefore: constant of proportionality = area covered / seed.

The constant of proportionality would be same for all pairs of values given in the table.

Thus:

$\frac{75}{3} = \frac{25}{1} = 25$

$\frac{100}{4} = \frac{25}{1} = 25$

5 0

3 years ago

1. Construct a table of values of the following functions using the interval of 5

Morgarella [4.7K]

Complete Question:

Construct a table of values of the following functions using the interval of -5 to 5.

$g(x) = \frac{x^3 + 3x - 5}{x^2}$

Answer:

See Explanation

Step-by-step explanation:

Required

Construct a table with the given interval

When $x = -5$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(-5) = \frac{-5^3 + 3(-5) - 5}{-5^2}$

$g(-5) = \frac{-125 -15 - 5}{25}$

$g(-5) = \frac{-145}{25}$

$g(-5) = -5.8$

When $x = -4$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(-4) = \frac{-4^3 + 3(-4) - 5}{-4^2}$

$g(-4) = \frac{-64 -12 - 5}{16}$

$g(-4) = \frac{-81}{16}$

$g(-4) = -5.0625$

When $x = -3$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(-3) = \frac{-3^3 + 3(-3) - 5}{-3^2}$

$g(-3) = \frac{-27 -9 - 5}{9}$

$g(-3) = \frac{-41}{9}$

$g(-3) = -4.56$

When $x = -2$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(-2) = \frac{-2^3 + 3(-2) - 5}{-2^2}$

$g(-2) = \frac{-8 -6 - 5}{4}$

$g(-2) = \frac{-19}{4}$

$g(-2) = -4.75$

When $x = -1$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(-1) = \frac{-1^3 + 3(-1) - 5}{-1^2}$

$g(-1) = \frac{-1 + 3 - 5}{1}$

$g(-1) = \frac{-3}{1}$

$g(-1) = -3$

When $x = 0$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(0) = \frac{0^3 + 3(0) - 5}{0^2}$

$g(0) = \frac{0 + 0 - 5}{0}$

$g(0) = \frac{- 5}{0}$

<em>g(0) = undefined</em>

When $x = 1$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(1) = \frac{1^3 + 3(1) - 5}{1^2}$

$g(1) = \frac{1 + 3 - 5}{1}$

$g(1) = \frac{-1}{1}$

$g(1) = 1$

When $x = 2$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(2) = \frac{2^3 + 3(2) - 5}{2^2}$

$g(2) = \frac{8 + 6 - 5}{4}$

$g(2) = \frac{9}{4}$

$g(2) = 2.25$

When $x = 3$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(3) = \frac{3^3 + 3(3) - 5}{3^2}$

$g(3) = \frac{27 + 9 - 5}{9}$

$g(3) = \frac{31}{9}$

$g(3) = 3.44$

When $x = 4$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(4) = \frac{4^3 + 3(4) - 5}{4^2}$

$g(4) = \frac{64 + 12 - 5}{16}$

$g(4) = \frac{71}{16}$

$g(4) = 4.4375$

When $x = 5$

$g(x) = \frac{x^3 + 3x - 5}{x^2}$ becomes

$g(5) = \frac{5^3 + 3(5) - 5}{5^2}$

$g(5) = \frac{125 + 15 - 5}{25}$

$g(5) = \frac{135}{25}$

$g(5) = 5.4$

<em>Hence, the complete table is:</em>

x ---- g(x)

-5 --- -5.8

-4 --- -5.0625

-3 --- -4.56

-2 --- -4.75

-1 --- -3

0 -- Undefined

1 --- 1

2 -- 2.25

3 --- 3.44

4 --- 4.4375

5 --- 5.4

7 0

3 years ago

How much artificial turf should be purchased to cover an athletic field that is in the shape of a trapezoid with a height of H =

Nata [24]

Answer:

581 m²

Step-by-step explanation:

The area of a trapezoid is determine as the average between the length of both bases T and B (46 and 37 m) multiplied by the height H. The area is:

$A = H*\frac{(T+B)}{2}\\A = 14*\frac{(46+37)}{2}\\A= 581 m^2$

Assuming that enough turf must be bought to cover the whole extension of the field, the amount of turf that should be purchased is 581 m².

7 0

3 years ago

A plain pizza cost $8.35. Additional toppings cost $0.95 each. Which equation can be used to represent the cost of a pizza, y, w

Yakvenalex [24]

Answer: y=0.95x+8.35

Step-by-step explanation: Hi there.

We can use the equation y=mx+b, where

y=the result (in this case the cost of the pizza)

m=the slope (how much each topping costs)

x=input value (how many kinds of toppings the pizza has)

b=initial value (how much the plain pizza costs)

The toppings cost $0.95, and the value of the plain pizza is $8.35

So the equation is: y=0.95x+8.35.

Have a nice day! :)

7 0

3 years ago